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x+5z=6-2y
Subtract 2y from both sides.
x=6-2y-5z
Subtract 5z from both sides.
2y+5z=6-x
Subtract x from both sides.
2y=6-x-5z
Subtract 5z from both sides.
2y=6-5z-x
The equation is in standard form.
\frac{2y}{2}=\frac{6-5z-x}{2}
Divide both sides by 2.
y=\frac{6-5z-x}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{x}{2}-\frac{5z}{2}+3
Divide 6-x-5z by 2.